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133322212320 = 25351153476423
BaseRepresentation
bin111110000101010011…
…1111000001111100000
3110202010110021010011120
41330022213320033200
54141020441243240
6141125233412240
712426564051363
oct1741247701740
9422113233146
10133322212320
11515a5a05450
1221a0940a080
13c75926323b
14664a7c80da
153704852ad0
hex1f0a9f83e0

133322212320 has 192 divisors, whose sum is σ = 466788801024. Its totient is φ = 31710648320.

The previous prime is 133322212307. The next prime is 133322212327. The reversal of 133322212320 is 23212223331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133322212327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41629 + ... + 518051.

It is an arithmetic number, because the mean of its divisors is an integer number (2431191672).

Almost surely, 2133322212320 is an apocalyptic number.

133322212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133322212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233394400512).

133322212320 is an abundant number, since it is smaller than the sum of its proper divisors (333466588704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133322212320 is a wasteful number, since it uses less digits than its factorization.

133322212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476505 (or 476497 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133322212320 its reverse (23212223331), we get a palindrome (156534435651).

The spelling of 133322212320 in words is "one hundred thirty-three billion, three hundred twenty-two million, two hundred twelve thousand, three hundred twenty".